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Elina [12.6K]
3 years ago
11

Sara has a circular fence around her dog house. Each day when she comes home from

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Answer:

226.2 feet

Step-by-step explanation:

The fence around the dog's house is a circle, with a radius of 12 meters.

To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:

C = 2 π r, since we know r, the calculation is easy:

C = 2  π 12 = 24 π = 75.4 feet.

The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.

Dogs run = 3 x 75.4 ft = 226.2 feet

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1.0315 x 10^ written in standard notation
Katyanochek1 [597]

Answer:

10.315

Step-by-step explanation:

7 0
3 years ago
The most accurate estimation 5+4
MariettaO [177]
The most accurate "estimation" for 5+4 is um... 9
4 0
3 years ago
maricela bought 2 1/3 pounds of bananas , 1 5/12 pounds of apples , and 3 5/6 pounds of mangoes. How many pounds of fruit did sh
damaskus [11]

Answer:

7 7/12 pounds of fruit

Step-by-step explanation:

First, add all of the whole numbers

2 + 1 + 3= 6 (save for later)

then find a common denominator between the fractions which is 12

1/3 = 4/12

5/6 = 10/12

4/12 + 10/12 + 5/12 = 19/12 or 1 7/12

now, add 1 7/12 + 6 to get you 7 7/12

hope this helps

6 0
3 years ago
The perimeter of an airplane ticket is 32 centimeters. The area is 60 square centimeters. What are the dimensions of the ticket
victus00 [196]
We model the ticket as a rectangle.
 For this case what you should know is that the perimeter of the rectangle is given by:
 P = 2w + 2l
 The area of the rectangle is given by:
 A = w * l
 In both cases:
 w: width
 l: long
 We have the following system of equations:
 32 = 2w + 2l
 60 = w * l
 Solving the system we obtain:
 The dimensions of the ticket are:
 (10 cm) * (6 cm)
 Answer:
 the dimensions of the ticket are:
 (10 cm) * (6 cm)
 Note: see attached image for system solution

8 0
3 years ago
What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95
nevsk [136]

Answer: 12

Step-by-step explanation:

The formula to find the sample size is given by:-

n=(\dfrac{z_c\cdot \sigma}{E})^2 , where \sigma is the population standard deviation, z_c is the z-value for the (1-\alpha) confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : \sigma=5.1

z-value for 95% confidence interval : z_c=1.960

Margin of error : E= 3

Then, the required minimum sample :-

n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12

Hence, the required minimum sample size = 12

3 0
3 years ago
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